Description
Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer)This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups:This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes:• ranging from prediction of homogenized elastic properties to nonlinear material behaviour• ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites• ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced compositesThe book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites.A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,…) in such a way that the underlying physics of the initiation and growth of these damage modes is respected.The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories).Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),… are excluded.Outline of the bookThe book is divided in three large parts, well balanced with each a similar number of chapters:
Table of Contents
1. Multiscale Framework. Concept of Geometry, Materials, Load Conditions and HomogenizationDavid Garoz Gómez2. Micro-scale Representative Volume Element - Generation and Statistical CharacterisationAntónio R. Melro and Riccardo Manno3. Geometry modelling and elastic property prediction for short fiber compositesJörg Hohe4. Modelling approaches for constructing the geometry of textiles at the meso-scale levelYordan Kyosev5. Construction of Representative Unit Cells for FE analysis of Textile Composite PliesR.D.B. Sevenois6. Detailed comparison of analytical and FE-based homogenization approaches for fiber-reinforced compositesSergey G. Abaimov, Iskander Akhatov, Stepan V. Lomov7. Applications of Maxwell's methodology to the prediction of the effective properties of composite materialsL.N. McCartney8. Modelling nonlinear material response of polymer matrices used in fiber-reinforced compositesF. A. Gilabert9. Modelling fibre/matrix interface debonding and matrix cracking in composite laminatesF. París, M.L. Velasco, E. Correa10. Modeling Defect Severity for Failure Analysis of CompositesRamesh Talreja11. Micromechanical modelling of interlaminar damage propagation and migrationL.F. Varandas, G. Catalanotti, A. Arteiro, A.R. Melro and B.G. Falzon12. Modelling the longitudinal failure of fibre-reinforced composites at micro-scaleG. Catalanotti, L.F. Varandas, A.R. Melro, T.A. Sebaey, M.A. Bessa and B.G. Falzon13. Multi-scale modelling and experimental observation of transverse tow cracking and debonding in textile compositesMartin Hirsekorn14. Experimental-Numerical Characterization of the Non-linear Microstructural Behavior of Fiber Reinforced Polymer StructuresMichael Schober, Kerstin Dittmann, Peter Gumbsch, Jörg Hohe15. Virtual identification of macroscopic material laws from lower scalesDavid Garoz Gómez16. Modeling Damage Evolution in Multidirectional Laminates: Micro to MacroJohn Montesano and Farzad Sharifpour17. Physics-based methodology for predicting ply cracking and laminate failure in symmetric composite laminates under multiaxial loading conditionM. Hajikazemi18. Meso-scale modeling of delamination using the cohesive zone model approachLaura Carreras, Gerard Guillamet, Adrià Quintanas-Corominas, Jordi Renart, Albert Turon19. Stochastic Virtual Testing Laboratory for unidirectional composite coupons. From conventional to dispersed-plylaminatesCläudio S. Lopes, David Garoz Gómez, Olben Falcó, Bas H. A. H. Tijs20. Multiscale Modeling of Open-hole Composite Laminates and 3D Woven CompositesDeepak K. Patela, Anthony M. Waas21. Multi-scale modelling of laminated composite structures with defects and featuresBassam El Said and Stephen R. Hallett22. A Multi-Scale Damage-Based Strategy to Predict the Fatigue Damage Evolution and the Stiffness Loss in Composite LaminatesMarino Quaresimin, Paolo Andrea Carraro23. Hybrid multi-scale modelling of fatigue and damage in short fibre reinforced compositesAtul JAIN
